Aim: How do we use the Fundamental Counting Principle to determine the number of elements in a sample space?
At the end of the lesson, you will be able to...
state and apply the Fundamental Counting Principal to specific problems
define independent event and dependent event
explain what is meant by sampling with and without replacements
This lesson will be a review of the Fundamental Counting Principle. We will be using this idea to work on probability.
Copy these questions into your notebook. Answer them as you watch the videos.
What does the Fundamental Counting Principle tell us?
Define independent event and dependent event.
How is the Fundamental Counting Principal used differently with a problem involving independent events as compared to dependent events?
Video 1
Video 2
Classwork: Solve each problem using the Fundamental Counting Principal
1. In a deabet club there are 12 boys and 15 girls.
a. In how many ways can a boy and a girl be selected to represent the club at a meeting? (Ans: 12 x 15 = 180
b. Are the selection of a boy and the selection of a girl independent or dependent events? (Ans: They are independent events. Choosing a boy has no effect on the number of girls to be chosen)
2. The skating club is holding an annual competition at which a gold, a silver, and a bronze medal are awarded.
a. In how many different ways can the medals be awarded if 12 skaters are participating in the competition? (Ans: 12 X 11 X 10 = 1320 ways)
b. Are the awarding of medals independent or dependent events? (Ans: They are dependent events because when the gold medal is awarded, that person cannot win any other medal. That means there are only 11 people left to win medals.)
Journal entry: When one event is made up of a series of choices, we can often make a tree diagram to illustrate all the possible ways the events can occur. How does the tree diagram support the principle that multiplication can be used to compute the total number of ways the event can occur?
At the end of the lesson, you will be able to...
This lesson will be a review of the Fundamental Counting Principle. We will be using this idea to work on probability.
Copy these questions into your notebook. Answer them as you watch the videos.
Video 1
Video 2
Classwork: Solve each problem using the Fundamental Counting Principal
1. In a deabet club there are 12 boys and 15 girls.
a. In how many ways can a boy and a girl be selected to represent the club at a meeting? (Ans: 12 x 15 = 180
b. Are the selection of a boy and the selection of a girl independent or dependent events? (Ans: They are independent events. Choosing a boy has no effect on the number of girls to be chosen)
2. The skating club is holding an annual competition at which a gold, a silver, and a bronze medal are awarded.
a. In how many different ways can the medals be awarded if 12 skaters are participating in the competition? (Ans: 12 X 11 X 10 = 1320 ways)
b. Are the awarding of medals independent or dependent events? (Ans: They are dependent events because when the gold medal is awarded, that person cannot win any other medal. That means there are only 11 people left to win medals.)
Homework: Complete numbers 2-42 even
Counting_Principle_1.JPG
Counting_Principle_2.JPG
Answers:
A-Counting_Principle.JPG
Journal entry: When one event is made up of a series of choices, we can often make a tree diagram to illustrate all the possible ways the events can occur. How does the tree diagram support the principle that multiplication can be used to compute the total number of ways the event can occur?